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```Exam 1 Quarter 3 Review Sheet:
1) If the probability that an event will occur is p, what is the probability that an event will not
occur? _______
will definitely occur? _____
will not occur? _______
2) If the probability that it will rain on Thursday is 5/6, what is the probability that it will not
rain? _______
3) A fair coin is tossed 3 times. What is the probability that the coin will land tails up on the
second toss? __________
4) Erica cannot remember the correct order of the four digits in her ID number. She does
remember that the ID number contains the digits 1,2,5, and 9. What is the probability that the
first three digits of Erica's ID number will all be odd numbers? __________
5) Sal has a small bag of candy containing three green candies and two red candies. While
waiting for the bus, he ate two candies out of the bag, on after another, without looking. What is
the probability that both candies were the same color? _________
6) A certain car comes in three body styles with a choice of two engines, a choice of two
transmissions, and a choice of six colors. What is the minimum number of cars a dealer must
stock to have one car of every possible combination? __________
7) Find the value of each of the following:
a) 5!
b) 8!
c) 9C4
d) 5P4
e) 12P6
f) 10C3
8) How many five-digit numbers can be formed from the digits 1,2,3,4, and 5 is each digit is
used only once? __________
9) There were seven students running in a race. How many different arrangements of 1st, 2nd,
and 3rd are possible? ___________
10) How many different three-member teams can be formed from six students? __________
11) A card is selected from a deck at random, replaced, then another card is selected. What is the
probability of obtaining two aces? __________
12) A card is selected from a deck at random, not replaced, then another card is selected. What
is the probability of obtaining a pair of sevens? ____________
13) A fair die and a fair coin are tossed. What is the probability of obtaining a 6 on the die and
14) A fair die and a fair coin are tossed. What is the probability of obtaining a heads on the coin
or a 4 on the die? _____________
15) Label each of the following as discrete or continuous:
a) Number of points scored by the Celtics last night.
b) Weight of each textbook in the class.
c) Distance between SFP and Holy Cross.
d) Count the number of cars in a parking lot.
__________
__________
__________
__________
16) Complete the table below and answer the questions that follow:
x
1
2
3
4
5
f
P(x)
10
15
26
15
10
Σ=
a) Expected Value = __________
xP(x)
x-μ
(x - μ)2
Σ=
(x - μ)2P(x)
Σ=
b) Standard Deviation = __________
c) Graph the probability distribution and comment on the shape of the histogram.
d) What is the probability of selecting an x value of 3 or higher? __________
e) What is the probability of selecting an x value which is even? __________
f) What is the probability of selecting an x value which is 4 or less? __________
```
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